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Identifying Models of the Octave Projective Plane
Authors:Daniel Allcock
Institution:(1) Dept. of Mathematics, University of California at Berkeley, Berkeley, CA, 94720, U.S.A.
Abstract:We provide a convenient identification between two models of the projective plane over the alternative field of octaves: Aslaksen's coordinate approach and the classic approach via Jordan algebras. We do this by modifying a 1949 lemma of P. Jordan.
Keywords:octaves  Cayley numbers  exceptional Jordan algebra  projective planes  
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